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Symmetry Patterns Practice Worksheet

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Symmetry Patterns Practice Worksheet

Choose the best answer, or select all that apply where instructed. Use the drawing spaces to create your own patterns.

Understanding symmetry

1.A shape has line symmetry when it can be folded along a line so that which statement is true?
  • The two halves fit exactly on top of each other.
  • The shape becomes larger.
  • The shape changes into a different shape.
2.A design still matches itself after being turned around its centre. What kind of symmetry does it show?
  • Line symmetry
  • Rotational symmetry
  • No symmetry
3.Select every example that could have line symmetry.
  • A butterfly with matching wings
  • A heart with a balanced left and right side
  • A one-way zigzag with no matching halves
  • A flower with evenly arranged petals

Make and describe patterns

4.Draw a pattern with line symmetry. You could draw one side first, then reflect it across an imaginary line.
5.Draw a pattern that matches itself after a turn. Include a centre point and repeat a shape evenly as it turns around that point.
6.For the pattern you drew in the first space, where could you place its line of symmetry?
7.For the pattern you drew in the second space, how many positions does it match during one complete turn, counting its starting position?

Symmetry challenge

8.Create a pattern that has both a line dividing it into matching halves and a turn that makes it match itself. Then explain how your design shows each property.
9.Give two examples of everyday objects that could have matching halves across a line, and two that could match themselves after a turn.

3 printable pages

  • Page 1: Students identify line and rotational symmetry using definitions and familiar geometric shapes.

    Page 1

  • Page 2: Students draw symmetrical patterns and determine the order of rotational symmetry.

    Page 2

  • Page 3: Students design a pattern with both line and rotational symmetry and connect symmetry to everyday objects.

    Page 3

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